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Finding the Fourth Proportional to 1,327.27, 1,831.64 and 803.20

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Solution

The fourth proportional to 1,327.27, 1,831.64 and 803.20 is: 1,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,327.27 : 1,831.64 = 803.20 : x
  2. Step 2: Convert to fraction form
    1,327.27/1,831.64 = 803.20/x
  3. Step 3: Cross multiply
    1,327.27x = 1,831.64 × 803.20
  4. Step 4: Simplify right side
    1,327.27x = 1,471,173.25
  5. Step 5: Solve for x
    x = 1,471,173.25/1,327.27
  6. Step 6: Final answer
    x = 1,108.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.